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Finding the Fourth Proportional to 140.54, 194.76 and 138.58

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Solution

The fourth proportional to 140.54, 194.76 and 138.58 is: 192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.54 : 194.76 = 138.58 : x
  2. Step 2: Convert to fraction form
    140.54/194.76 = 138.58/x
  3. Step 3: Cross multiply
    140.54x = 194.76 × 138.58
  4. Step 4: Simplify right side
    140.54x = 26,989.84
  5. Step 5: Solve for x
    x = 26,989.84/140.54
  6. Step 6: Final answer
    x = 192.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.